Search a number
-
+
2211022220120 = 235747347484181
BaseRepresentation
bin100000001011001011001…
…100011010101101011000
321211101000221101022222022
4200023023030122231120
5242211133142020440
64411421331314012
7315512122531430
oct40131314325530
97741027338868
102211022220120
1178276444710a
122b8616a4b908
1313066328a98c
147902a7872c0
153c7a8e2ecb5
hex202cb31ab58

2211022220120 has 128 divisors (see below), whose sum is σ = 5823198812160. Its totient is φ = 739796052480.

The previous prime is 2211022220119. The next prime is 2211022220123. The reversal of 2211022220120 is 210222201122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211022220123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4324430 + ... + 4808610.

It is an arithmetic number, because the mean of its divisors is an integer number (45493740720).

Almost surely, 22211022220120 is an apocalyptic number.

2211022220120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2211022220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911599406080).

2211022220120 is an abundant number, since it is smaller than the sum of its proper divisors (3612176592040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2211022220120 is a wasteful number, since it uses less digits than its factorization.

2211022220120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484593 (or 484589 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2211022220120 its reverse (210222201122), we get a palindrome (2421244421242).

The spelling of 2211022220120 in words is "two trillion, two hundred eleven billion, twenty-two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 347 376 470 658 694 940 1316 1388 1645 1735 1880 2429 2632 2776 3290 3470 4858 6580 6940 9716 12145 13160 13880 16309 19432 24290 32618 48580 65236 81545 97160 114163 130472 163090 228326 326180 456652 484181 570815 652360 913304 968362 1141630 1936724 2283260 2420905 3389267 3873448 4566520 4841810 6778534 9683620 13557068 16946335 19367240 22756507 27114136 33892670 45513014 67785340 91026028 113782535 135570680 159295549 168010807 182052056 227565070 318591098 336021614 455130140 637182196 672043228 796477745 840054035 910260280 1176075649 1274364392 1344086456 1592955490 1680108070 2352151298 3185910980 3360216140 4704302596 5880378245 6371821960 6720432280 7896507929 9408605192 11760756490 15793015858 23521512980 31586031716 39482539645 47043025960 55275555503 63172063432 78965079290 110551111006 157930158580 221102222012 276377777515 315860317160 442204444024 552755555030 1105511110060 2211022220120